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Finding the Fourth Proportional to 206,406.20, 309,653.73 and 64,248.45

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Solution

The fourth proportional to 206,406.20, 309,653.73 and 64,248.45 is: 96,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406.20 : 309,653.73 = 64,248.45 : x
  2. Step 2: Convert to fraction form
    206,406.20/309,653.73 = 64,248.45/x
  3. Step 3: Cross multiply
    206,406.20x = 309,653.73 × 64,248.45
  4. Step 4: Simplify right side
    206,406.20x = 19,894,772,189.22
  5. Step 5: Solve for x
    x = 19,894,772,189.22/206,406.20
  6. Step 6: Final answer
    x = 96,386.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.